Which of the following formulas are recursive? Choose all that apply.

a
NEXT = NOW – 8, starting at 50
b


c
f(n + 1) = f(n) + 6.5, f(1) = 0

Answer:

\(\approx10.29\text{ feet}\)

Step-by-step explanation:

Please refer to the attachment.

By AA Similarity, the two triangles are similar.

Therefore, corresponding parts of them are proportional.

Therefore, we can write the following proportion:

\(\frac{7}{24}=\frac{3}{x+3}\)

We will solve for x. Cross-multiply:

\(7(x+3)=24(3)\)

Distribute:

\(7x+21=72\)

Subtract 21 from both sides:

\(7x=51\)

Divide both sides by 7. So, the value of x is:

\(x\approx7.2857\)

However, that is only the value of x.

The shadow of the tree is (x+3).

Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

\(\approx10.2857\approx10.29\text{ feet}\)

Answer:

15

Step-by-step explanation:

Let x, x+1, and x+2, be the three consecutive numbers.

x+(x+1)+(x+2) = 45

3x + 3 = 45

Divide both sides by 3,

x + 1 = 15

x = 14

Hence, the given three consecutive numbers are 14, 15 and 16.

Step-by-step explanation:

£3500×20×3/100

£350×2×3=?

hope it can help

Answer:

$1,400.00

Step-by-step explanation:

20% of $3,500.00 is $700.00

$700.00  x  3 years is $2,1,00.00

$3,500.00 - $2,100.00= $1,400.00

To solve the system of equations using Gaussian elimination, we can represent the given system in an augmented matrix form:

[ 3 -7 -2 | 46 ]

[ 1 -3 0 | 18 ]

To perform Gaussian elimination, we'll apply row operations to the augmented matrix to obtain row-echelon form.

First, let's perform the row operation R2 = R2 - (1/3)R1:

[ 3 -7 -2 | 46 ]

[ 0 2 (2/3) | 2 ]

Next, we'll perform the row operation R2 = (1/2)R2:

[ 3 -7 -2 | 46 ]

[ 0 1 (1/3) | 1 ]

Now, let's perform the row operation R1 = R1 + 7R2:

[ 3 0 1 | 53 ]

[ 0 1 (1/3) | 1 ]

Finally, let's perform the row operation R1 = R1 - (1/3)R2:

[ 3 0 0 | 52 ]

[ 0 1 (1/3) | 1 ]

The resulting row-echelon form gives us the following system of equations:

3x₁ + 0x₂ + 0x₃ = 52

0x₁ + 1x₂ + (1/3)x₃ = 1

From the row-echelon form, we can see that the system has a unique solution.

Therefore, the correct choice is A. The unique solution is x₁ = 52, x₂ = 1, and x₃ = 0.

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Answer: C

A is -1 and 1/3

B is -2/3

C is -1/3

D is 1/3

so it’s C

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer:

number 4

Step-by-step explanation:

Answer:

#4

Step-by-step explanation:

i just took the quiz and i got it right

The probability of spinning a 5 first and then a 1 is:

(1/6) * (1/6) = 1/36

Expressed as a percent, this is:

(1/36) * 100% = 2.78%

So the probability of landing on a 5 and then a 1 is 2.78%

Answer:

Alternativa b

Step-by-step explanation:

Dá para fazer Báskara

Answer:

-2 is your answer

Step-by-step explanation:

First, you get 2/3 and distribute it into the parentheses that gives you

4-6x=16

now you subtract 4 on both sides leaving you with

-6/-6 which cancels out you have

12/-6 whigh is -2 and that is your answer

The expectation of getting correct option out of total choice of 5 question.

Probability is the ratio of number of favorable outcomes to the total number of outcomes.It can not be more than 1.

we have five question each of them has four choice, two out of them are correct.

Number of correct choice in one question = 2

Total number of choice in a question = 4

probability to get correct option of one question = 2/4 = 0.5.

Then the probability of 5 question = 5(0.5) = 2.5

Thus, the expectation of correct choice is 2.5.

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The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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Answer: 0.24

Step-by-step explanation: m = -6 / -25 = 0.24

Answer:

0.24

Step-by-step explanation:

cuz m = -6 / -25 = 0.24

hope this helps am in 8th grade and plz pick me as brainless

Answer:

FP is 70 degrees 35 times 2 so PD is 180 half a turn minus 70 = 110 degrees

Step-by-step explanation:

Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

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The equation of the area of the circle (x - 4)^2 + (y + 1)^2 = 9, that is, option B.

The standard form of an equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where, r = radius of the circle and (h, k) are the coordinates of the center of the circle.

Here, we are given that a circle is centered at (4,-1) and has a radius of 3.

Thus, r = 3

h = 4

and k = -1

Therefore, the equation of the circles will be-

(x - 4)^2 + (y - (-1))^2 = 3^2

(x - 4)^2 + (y + 1)^2 = 9

Thus, option B, (x - 4)^2 + (y + 1)^2 = 9 is the correct option.

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The objective is to determine the number of children labeled as "positive" by the school physician, the net sensitivity and net specificity of both examinations combined, and the positive predictive values of both the school physician's and the cardiologist's examinations.

1. To calculate the number of children labeled as "positive" by the school physician, we first determine the prevalence of heart disease in the population. With a known prevalence of 15% and a population of 1,500 children, we can calculate that there are 225 children with heart disease. The school physician's sensitivity is 60%, so they correctly identify 60% of the children with heart disease, which is 135 children. These 135 children are labeled as "positive" by the school physician.

2. The net sensitivity and net specificity of both examinations combined can be calculated using a two-step process. First, we determine the number of true positives, true negatives, false positives, and false negatives for each examination. For the school physician's examination, we have 135 true positives (children correctly identified with heart disease), 1,080 true negatives (children correctly identified without heart disease), 540 false positives (children incorrectly labeled as positive), and 75 false negatives (children incorrectly labeled as negative). Using these values, we can calculate the sensitivity and specificity for the school physician's examination: sensitivity = 135 / (135 + 75) = 64.3% and specificity = 1,080 / (1,080 + 540) = 66.7%.

Next, we consider the results of the cardiologist's examination. The sensitivity is 70%, so the cardiologist correctly identifies 70% of the children with heart disease, which is 157.5 children. Since we cannot have a fraction of a child, we round it to the nearest whole number, giving us 158 true positives. The specificity is 90%, so the cardiologist correctly identifies 90% of the children without heart disease, which is 1,170 children. With these values, we calculate the sensitivity and specificity for the cardiologist's examination: sensitivity = 158 / (158 + 66) = 70.6% and specificity = 1,170 / (1,170 + 126) = 90.3%.

To calculate the net sensitivity and net specificity of both examinations combined, we take into account that the cardiologist examines only the children labeled as "positive" by the school physician. Therefore, we consider the true positives and false positives from the school physician's examination and the true negatives from the cardiologist's examination. The net sensitivity is (135 + 158) / (225) = 63.1%, and the net specificity is (1,080) / (1,080 + 540 + 126) = 61.9%.

3. The positive predictive value of the cardiologist's examination represents the proportion of children labeled as "positive" by the cardiologist who actually have heart disease. To calculate this, we divide the number of true positives by the sum of true positives and false positives from the cardiologist's examination. The positive predictive value of the cardiologist's examination

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Answer:

Step-by-step explanation:

Depreciation factor is (100 - 12)/100= 0.88 per year

Final value of the car:

The probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend given the information that 9.35% of Americans plan to travel by car and 88.6% plan to stay home. The probability of staying home or traveling by car over the next holiday weekend is given by the addition of probabilities of these events.

P(stay home or travel by car) = P(stay home) + P(travel by car)P(stay home or travel by car) = 0.886 + 0.0935P(stay home or travel by car) = 0.9795Therefore, the probability that a randomly selected American plans to stay home or travel by car over the next holiday weekend is 0.9795.

The value of probability does not equal 1 because some Americans traveled by other means.

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The surface area of the pyramid with a square base is equal to 115 square inches.

Herein we have a pyramid with a square base, whose surface area is the sum of the areas of the four triangles and the area of the square, whose calculation is introduced below:

A = A' + 4 · A''

A = (5 in)² + 4 · 0.5 · (5 in) · (9 in)

A = 115 in²

The surface area of the pyramid with a square base is equal to 115 square inches.

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The required value of the boat at the end of 2015 is $38,525.76.

Given that,
The value of a boat depreciates by 16% each year. at the end of 2012, the value of the boat is £65000 3 years work out the value of the boat at the end of 2015 is to be determined.

The function which is in format f(x) = aˣ , where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Let the total cost after x years be y,
According to the question,
As the price is depreciating at a rate of 16% each year the relation formed is exponential relation,
y = 65000(1 - 0.16)ˣ
Substitute x = 3 for the year 2015
y = 65000(0.86)³
y = $38,525.76

Thus, the required value of the boat at the end of 2015 is $38,525.76.

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The values are calculated as Part A : $3611.6245, Part B : 21.81% and Part C : $1107.75.

Mark Down percentage is the percentage of reduction in the original price of an item.

Mark down percentage = [(original price - selling price) / original price] × 100

Part A :

Original price = $4248.97

Markdown = 15%

0.15 = (4248.97 - x) / (4248.97)

4248.97 - x = 637.3455

x = 4248.97 - 637.3455

x = $3611.6245

Reduced price of the refrigerator is $3611.6245.

Part B :

Selling price = $1270.55

Original price = $1625

Mark up percentage = [(1625 - 1270.55) / (1625)] × 100

                                  = [354.45 / 1625] × 100

                                  = 21.81%

Part B :

Selling price = $886.20

Mark down percentage = 20%

0.2 = (x - 886.2) / x

0.2x = x - 886.2

x - 0.2x = 886.2

0.8x = 886.2

x = $1107.75

Hence the selling price, mark down percentage and original price has been calculated as $3611.6245, 21.81 % and $1107.75 respectively.

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Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

17

Step-by-step explanation:

Answer:

17 links

Step-by-step explanation:

1. 13 Links and 17 links are rusted. Since we need to find out the number of links that are not rusted, we need to add 13+17.

a.  13  + 17 = 30

2. Now since we added the number of lines rusted, we now should subtract the ones rusted and the one not rusted to get the answer.

a. 47-30 = 17

FINAL ANSWER: 17

Step-by-step explanation:

$136 - c = ?

The question mark can also be replaced with a variable if needed.

Answer:

Westin Trading normally nets $6 million per month. The table shows the variance from the average for five months.

Sales Above/Below Average (Millions)

April

May

June

July

Aug.

–2.5

Negative 2 and one-half

3.1

–1.6

2 and two-thirds

Which comparison is true? Use the number line to help.

A number line going from negative 6 to positive 6 in increments of 1.

x June < August

✔April = May

x May > July

x May = August

Step-by-step explanation: took quiz on edge 2021 made 100

The required comparison that is true is that Westin Trading's sales were below average for the five months.

Statistics is a field of mathematics that deals with relations between comprehensive data.

Here,
To determine the comparison that is true, we need to find the total variance from the average for the five months and compare it to zero on the number line. We can do this by adding up the variances and dividing by the number of months:

Total variance = (-2.5) + (-2.0) + 3.1 + (-1.6) + 2.67

Total variance = -0.32

Average variance = -0.32 ÷ 5

Average variance = -0.064

Since the average variance is negative, this means that Westin Trading's sales were below the average of $6 million per month for the five months. To compare this to zero on the number line, we can see that the average variance of -0.064 is to the left of zero, which represents the average sales of $6 million per month. Therefore, the comparison that is true is that Westin Trading's sales were below average for the five months.

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The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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According to the question The probability that no person is next to their partner is approximately 0.00022.

To find the probability that no person is next to their partner, we can consider the number of favorable outcomes and the total number of possible outcomes.

The total number of possible arrangements of 8 people is 8!, which is the factorial of 8 (8 factorial) and equals 40320.

Now, let's calculate the number of favorable outcomes, where no person is next to their partner. We can use the principle of derangements.

A derangement is a permutation of a set in which no element appears in its original position. In this case, we want to derange the 4 couples so that no person is next to their partner.

The number of derangements of 4 couples can be calculated using the formula for derangements:

\(D(4) = 4! * (1 - 1/1! + 1/2! - 1/3! + 1/4!)\)

= 9

So, there are 9 favorable outcomes where no person is next to their partner.

Therefore, the probability that no person is next to their partner is:

Probability = Number of favorable outcomes / Total number of possible outcomes

          = 9 / 40320

          ≈ 0.0002232143

Rounded to 5 decimal places, the probability is approximately 0.00022.

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Step-by-step explanation:

স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰাস্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা